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Around 500 of the highest scorers in each school year are invited to take part in the Intermediate Mathematical Olympiad papers.

England and Wales | Scotland | Northern Ireland | |
---|---|---|---|

Cayley |
Year 9 or below | S2 or below | Year 10 or below |

Hamilton |
Year 10 | S3 | Year 11 |

Maclaurin |
Year 11 | S4 | Year 12 |

All invited participants receive a UKMT keyfob and a Certificate of Qualification, Merit or Distinction depending on performance.

The top 100 students in each paper receive medals; coloured bronze for Cayley, silver for Hamilton and gold for Maclaurin.

Book prizes are awarded to the top 50 students in each paper. The titles vary from year to year.

Schools with a UKMT centre number may enter pupils in the appropriate school years who did not qualify automatically. A fee is payable, and we would expect discretionary candidates to be talented mathematicians who e.g. were absent for the IMC or narrowly missed the qualifying threshold.

**If you wish to enter discretionary candidates for the Intermediate Mathematical Olympiad (only school staff may do this), please enter on-line via this form.**

Non-invited entrants i.e. those entered as discretionary candidates by their teachers, are entitled to all awards apart from Certificates of Qualification.

- Dr Frost Maths - Interactive system using UKMT Challenge and Olympiad questions.

**Sample past papers**

**Sample solutions**

**Here are the Intermediate Olympiad 2018 thresholds:**

Cayley: Prize/Medal/Distn/Merit 53/50/46/10

Hamilton: Prize/Medal/Distn/Merit 52/46/41/10

Maclaurin: Prize/Medal/Distn/Merit 35/28/24/8

**Please note these are for guidance only; the thresholds are recalculated each year based on the national score distribution.**

You may buy collections of past papers.